#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
// #include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) x.clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount
#define pb push_back
#define pf push_front
#define popf pop_front
#define popb pop_back
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T> void print(set <T> v);
template <class T> void print(vector <T> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T, class V> void print(pair <T, V> p);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque<T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(unordered_map<T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "" && str != "input") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
if(str == "input") {
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 3e5 + 10;
int n, m, k, p[N], sz[N], in[N], dp[N];
int componentValue[N], vis[N];
set<int> adj[N];
struct node {
int a, b;
char ch;
};
int find(int a) {
if(a != p[a]) {
p[a] = find(p[a]);
}
return p[a];
}
void merge(int a, int b) {
a = find(a), b = find(b);
if(a == b) {
return;
}
p[b] = a, sz[a] += sz[b];
}
int dfs(int node, int parent) {
if(dp[node]) return dp[node];
dp[node] = 1;
for(auto u: adj[node]) {
if(u == parent) continue;
dp[node] = max(dp[node], dfs(u, node) + 1);
}
return dp[node];
}
void dfsUpdate(int node, int parent) {
vis[node] = true;
componentValue[find(node)] = n - dp[node] + 1;
for(auto u: adj[node]) {
if(!vis[u] && dp[u] == dp[node] - 1) {
dfsUpdate(u, node);
}
}
}
void solve_() {
cin >> n >> m >> k;
for(int i = 1; i <= m; i++) {
sz[i] = 1, p[i] = i;
}
vector<node> q;
for(int i = 1; i <= k; i++) {
int a, b; char ch;
cin >> a >> ch >> b;
if(ch == '=') {
merge(a, b);
} else {
q.push_back({a, b, ch});
}
}
for(auto u: q) {
int a, b; char ch;
a = u.a, b = u.b, ch = u.ch;
b = find(b), a = find(a);
if(ch == '>') {
adj[b].insert(a);
in[a]++;
} else {
adj[a].insert(b);
in[b]++;
}
}
for(int i = 1; i <= m; i++) {
int curr = find(i);
if(!in[curr]) {
dfs(curr, 0);
}
}
vector<bool> used(m + 1, 0);
for(int i = 1; i <= m; i++) {
if(used[find(i)]) continue;
int par = find(i);
if(dp[par] != n) continue;
dfsUpdate(par, 0);
}
for(int i = 1; i <= m; i++) {
if(componentValue[find(i)] == 0) {
printf("?\n");
} else {
printf("K%d\n", componentValue[find(i)]);
}
}
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
solve(test_cases);
return 0;
}
Compilation message
kovanice.cpp: In function 'void setIO(std::string)':
kovanice.cpp:66:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
66 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
kovanice.cpp:67:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
67 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
kovanice.cpp:71:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
71 | freopen("input.txt", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
kovanice.cpp:72:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
72 | freopen("output.txt", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
10 ms |
14492 KB |
Output is correct |
| 2 |
Correct |
9 ms |
14496 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
78 ms |
23188 KB |
Output is correct |
| 2 |
Correct |
77 ms |
23388 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
27 ms |
16076 KB |
Output is correct |
| 2 |
Correct |
40 ms |
16208 KB |
Output is correct |
| 3 |
Correct |
44 ms |
16960 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
218 ms |
34264 KB |
Output is correct |
| 2 |
Correct |
205 ms |
38420 KB |
Output is correct |
| 3 |
Correct |
221 ms |
38244 KB |
Output is correct |
| 4 |
Correct |
217 ms |
43060 KB |
Output is correct |
| 5 |
Correct |
252 ms |
48476 KB |
Output is correct |
